10001111001101 has 32 divisors (see below), whose sum is σ = 11064537259776. Its totient is φ = 8964172800000.

The previous prime is 10001111001061. The next prime is 10001111001113. The reversal of 10001111001101 is 10110011110001.

It is not a de Polignac number, because 10001111001101 - 2³⁸ = 9726233094157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001111009101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1010106251 + ... + 1010116151.

It is an arithmetic number, because the mean of its divisors is an integer number (345766789368).

Almost surely, 2^{10001111001101} is an apocalyptic number.

10001111001101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10001111001101 is a deficient number, since it is larger than the sum of its proper divisors (1063426258675).

10001111001101 is a wasteful number, since it uses less digits than its factorization.

10001111001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13733.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 10001111001101 its reverse (10110011110001), we get a palindrome (20111122111102).

The spelling of 10001111001101 in words is "ten trillion, one billion, one hundred eleven million, one thousand, one hundred one".